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Cathy is walking to class around the quad. If she stays on the sidewalk, she will need to walk $45\ feet$, make a right angle turn, and then walk $250\ feet$ more.

How much distance would she save if she cut across the quad and took the shortest path between the two buildings? Round to the nearest foot.

A

$0\text{ feet}$

B

$4\text{ feet}$

C

$41\text{ feet}$

D

$254\text{ feet}$

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